A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.
Let a be number of rows
Therefore,
No. of columns = a
Total number of students who sat in field = a2
Total students = a2 + 71
= 6000
a2 = 5929
a =
a = 11 × 7
= 77
Therefore, total number of rows = 77